Brake light hey sorry for my english i'm a french guy !!!! my problem is when he change my transmission park to drive 5 second later my brake lamps keep open when he go forward and my cruise control dosen't work you no he tink is my cilindre master or my abs electric control

automatic transmission or manual stick, the brake/clutch switch operations are NOT THE SAME on both car options.
no country told, lighting (for sure external) are not the same all over earth, sorry I do not make laws (like DOT USA?) or anywhere.
this forum is www, a world wide web forum. so where are you ,a country.?
and you work with no voltmeter or service manual schematic.
and no scan tool? wow endless guessing done. throwing parts wild.
its is modern car, 2009 totally unlike a 1990 or 1980 or older car.
for sure.
there is never a need to replace all fuses ever, testing is super easy even if they all look good. (did they?). (look test, ohms or volts tests)

that melting thing means a lamp shorted. (they can)
I see reverse lamps failing and parking lamps
the transmission PRNDL SWITCH MUST WORK IN "R" OR THE LAMPS WILL BE DEAD REVERSE. BOTH WERE SO.....
I GUESS INDICATOR MEANS turns signals failed( blinkers)
the car has 4 corners, why not tell what all 4 do when Turns or parks fail.?>??? what they all do outside matters most. (electrics)

the huge problem here is not scanning the OBD2 port with a real scan tool. I bet it tells you why it fails I sure do but you failed to do that.

does this car have the parking AID option?
does this car have optioin
Daytime Running Lamps, a.k.a DRL?>? also wiring for TT is unique so states the SM (service manual)
i can't see you work on any car so now comes right parts questioln
using only these parts.,
Rear Turn Signal Bulb

1. Left/right Rear Turn Signal Bulb M6
2. Right Rear Turn Signal Bulb M8
3. 12 V, 18 W
4. W16W

the German manual calls park lamps TAIL even when front and side park lamps are park lamps. same source.
It does call TURNS turns, so we can find the correct schematics,
searching the online service manual for you.
most modern cars, use BCM to run all that. I call it the body brain
each maker uses there names and Germans use CODES
LIke J123. to name a model. (that must be decoded first to work the problem, yes a pain on all germane cars)
deep in the manual i found the secret german body brain
J519 - Vehicle Electrical System Control Module
this module runs the whole rear (it has DRIVERS)
Drives means electronic high power regulator drivers to lamps.
that if it sees a short , it simply goes OFFLINE until cures.
then magically goes back on one,

J519 - Vehicle Electrical System Control Module
M6 - Left Rear Turn Signal Bulb
M8 - Right Rear Turn Signal Bulb
M9 - Left Brake Lamp Bulb
M10 - Right Brake Lamp Bulb
M16 - Left Back-Up Lamp Bulb
M17 - Right Back-Up Lamp Bulb
M37 - Left Rear Side Marker Lamp Bulb
M38 - Right Rear Side Marker Lamp Bulb
T2g - 2-Pin Connector, In the Luggage Compartment, Right, Black
T6k - 6-Pin Connector
T6l - 6-Pin Connector, Black
T12c - 12-Pin Connector, Black
T12d - 12-Pin Connector, Brown
X3 - Rear Fog Lamp
395 - Ground Connection 30 (in Main Wiring Harness)
662 - Ground Connection in Left Rear Side Panel
676 - Ground Connection 2 in Luggage Compartment, Left
------------------------

J519 is here
Behind driver's left stowage compartment, beside steering column -2

Fuse 7 (On Fuse Panel C)? blown fuse?
this car uses CAN BUS.
many of the switches wire directly to the J519 Body brain
but not all.
lets look at that now, (my book is USA only SM)
the steering switchs for park, turn and heads.
are all sent to the cluster brain directly,
then the cluster brain via the CAN_BUS network sends data commands to the J519 (body brain)
then if this fails the scan tool told you it did but you never scanned the OBD2 port. while failing
others found water leaks to dash module (windshield cracks or glued in wrong and leaks)
some Audi versions 2009 have top of brake pedal brake switch that must work, and is direct drive signal to J519
TURNS are not switch actual direct drive to the J519. no.


example 1
U1113 Audi Code
lacking scan tools you will never fix this by guessing. sorry
CAN Bus wiring intermittently open, shorted to power or ground
U0001
U0155<< lost comms to IP cluster.
and more lots and lots more possible
we check all fuses in all fuses boxs A ,B,C etc.
then scan the OBD2 port. for errors. for sure comm errors'

see this fuse box?

Main Fuse Box in Right Rear of Luggage Compartment on Battery see? drivers (electronic) to each lamp. proof (no fuses to lamps)
so if one lamp shorts. the other do not die. by design
and J519 must get the commands to turn them on first.

https://www.carcareninja.com/tail-lights-not-working-but-brake-lights-are/#:~:text=The%20common%20causes%20the%20tail%20lights%20do%20not,it%20does%20not%20allow%20the%20circuit%20to%20complete.
This post has a few suggestions that may help you find your problem.

I have a 2006 Silverado that rear lamps have recently quit working. A turn lamp and backup lamp on opposing sides.

One was from loose socket contacts and the other was oxidation of lamp contacts. You can bend socket contacts closer to make them tighter and clean bulb contacts. It's been several weeks now and all is fine.

sounds like the headlight switch is bad and shorting out your parking lamps .try changing the headlight switch

Shifting to NEUTRAL
To shift the transfer case to NEUTRAL, first make sure
the vehicle is parked so that it will not roll:
1. Set the parking brake.
2. Start the vehicle.
3. Connect the vehicle to the towing vehicle.
4. Put the transmission in NEUTRAL (N) or have
the clutch pedal pressed for vehicles with
manual transmission.
5. Shift the transfer case to 2HI.
6. Simultaneously press and hold the 2HI and
4LO buttons for 10 seconds. The red NEUTRAL
light will come on when the transfer case shift to
NEUTRAL is complete.
7. Shift the transmission to REVERSE (R) for one
second, then shift the transmission to DRIVE (D)
for one second or FIRST (1) for vehicles with
manual transmission.
8. Turn the ignition to OFF.
9. Place the transmission shift lever in PARK (P) or
FIRST (1) for vehicles with manual transmission.
10. Release the parking brake prior to towing.

************************

Shifting Out of NEUTRAL
To shift out of NEUTRAL:
1. Set the parking brake and apply the regular
brake pedal.
2. Start the vehicle with the transmission in PARK (P)
or FIRST (1) for vehicles with manual transmission.
3. Press the button for the desired transfer case position
(2HI, 4HI, AUTO 4WD or 4LO).
4. Put the transmission in NEUTRAL (N) or press the
clutch pedal for vehicles with manual transmission.
5. Shift the transmission lever to the desired position.
After the transfer case has shifted out of NEUTRAL,
the red light will go out.
6. A re-engagement sound is normal when shifting out
of NEUTRAL.

the brake light switch may be bad, ck if the brake lights operate. if not could be switch or fuse. if they do operate, could be problem with the locking mechanism insde the shifter.

may want to check the brake pedal switch located on top of the brake pedal arm. If all fuses looks good, replace the brake pedal switch, which can also cause to not shift out of park.

If you live in the US, you can take your car to an Auto Zone store and they will read off the diagnostic code that is causing the check engine lamp to come on. Once you have that then you can decide your next course of action.

Hope this is of some help.
Ed

You have a blown brake lamp fuse.
Start the vehicle, depress the brake, and have someone observe to see if you have brake lights. No brake lights = no removal from park W/O pushing the over-ride switch.
FYI: Brake lamp fuse failures are most always created by a faulty trailer wire harness.

btsi solenoid on right side of steering column about halfway up column unplug and check green wire with test lamp while depressing brake pedal lamp should turn on and off if not replace brake lamp switch or check wiring if test lamp lights replace btsi solenoid