Fix incorrect model name in count token requests to the developer API backend

[davidmotson]

No description provided.

[github-actions]

📝 PRs merging into main branch

Our main branch should always be in a releasable state. If you are working on a larger change, or if you don't want this change to see the light of the day just yet, consider using a feature branch first, and only merge into the main branch when the code complete and ready to be released.

[davidmotson]

This should fix #7008

[google-oss-bot]

Coverage Report ¹

Affected Products

No changes between base commit (f03fe1c) and merge commit (9b0d2b5).

Test Logs

• Base (f03fe1c): https://github.com/firebase/firebase-android-sdk/actions/runs/15400697074
• Merge (9b0d2b5): https://github.com/firebase/firebase-android-sdk/actions/runs/15423136908

1. https://storage.googleapis.com/firebase-sdk-metric-reports/Vxy5iM3SDt.html

[github-actions]

Test Results

 24 files  + 24   24 suites  +24   33s ⏱️ +33s
102 tests +102  102 ✅ +102  0 💤 ±0  0 ❌ ±0 
204 runs  +204  204 ✅ +204  0 💤 ±0  0 ❌ ±0 

Results for commit f5e59e1. ± Comparison against base commit f03fe1c.

[google-oss-bot]

Size Report ¹

Affected Products

• firebase-ai

  Type	Base (f03fe1c)	Merge (9b0d2b5)	Diff
  aar	825 kB	825 kB	+170 B (+0.0%)
  apk (aggressive)	1.55 MB	1.55 MB	+104 B (+0.0%)
  apk (release)	9.52 MB	9.52 MB	+188 B (+0.0%)

Test Logs

• Base (f03fe1c): https://github.com/firebase/firebase-android-sdk/actions/runs/15400697074
• Merge (9b0d2b5): https://github.com/firebase/firebase-android-sdk/actions/runs/15423136908

1. https://storage.googleapis.com/firebase-sdk-metric-reports/7RPCGCnuhT.html