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.