Add NestBridge app

[Bibfortuna5057]

Application Submission

• Control a NoLongerEvil flashed Nest Gen 1/2 thermostat from a Flipper Zero using BLE advertisement packets. Set temperature, change mode, and set fan timers from a simple menu.

Extra Requirements

• Requires an ESP32 development board with WiFi and BLE running MicroPython, a Nest Gen 1 or Gen 2 thermostat running NoLongerEvil firmware, and an NLE API key.

Author Checklist (Fill this out)

• I've read the contribution guidelines and my PR follows them
• I own the code I'm submitting or have code owner's permission to submit it
• I have performed a self-review of my own code
• I have commented my code, particularly in hard-to-understand areas
• I have validated the manifest file(s) with python3 tools/bundle.py --nolint applications/CATEGORY/APPID/manifest.yml bundle.zip

AI usage disclosure (Fill this out):

• Partially AI assisted (clarify below which code was AI assisted and briefly explain what it does).

• Fully AI generated (explain what all the generated code does in moderate detail).

• FAP UI code and MicroPython script were AI assisted. The BLE advertisement communication approach and overall architecture were developed through iterative testing.

Reviewer Checklist (Don't fill this out!)

• Bundle is valid
• There are no obvious issues with the source code
• I've ran this application and verified its functionality

[xMasterX]

Hello, this manifest file is not valid, only parts of it seems to be correct but they are placed in wrong sections

There's no such thing like app:
And app can not come without screenshots

Please check the docs in this repo, to find manifest example and reqs.

[xMasterX]

Hello, app was tested and seems to be fine, manifest also looks OK now

But category GPIO does not fit for app that uses flipper's BLE stack only

Lets fix that by changing fap_category="GPIO", to fap_category="Bluetooth", in your app .fam file in your repo
Then you need to move manifest from GPIO folder to Bluetooth folder here in catalog PR
Don't forget to update commit sha in manifest to point to latest commit when you update category in the app .fam file

Then tag me when its ready, thx