Upgrade Room3 and migrate Paging3

[SeniorZhai]

Summary

• Upgrade Room integration to Room3 naming/imports and generated query annotations.
• Migrate remaining Paging2 API usage to Paging3 PagingSource/PagingData flows.
• Remove legacy Paging2 data source adapters/builders and update chat, media, search, and player consumers.

Verification

• ./gradlew :app:compileGooglePlayDebugKotlin --no-configuration-cache --stacktrace

[SeniorZhai]

@copilot resolve the merge conflicts in this pull request

[Copilot]

Copilot wasn't able to review this pull request because it exceeds the maximum number of files (300). Try reducing the number of changed files and requesting a review from Copilot again.

[Copilot]

Copilot wasn't able to review this pull request because it exceeds the maximum number of files (300). Try reducing the number of changed files and requesting a review from Copilot again.

[Copilot]

@copilot resolve the merge conflicts in this pull request

Merge conflicts resolved in commit chore(merge): resolve conflicts with master branch.

Summary of resolutions:

• build.gradle.kts: Adopted master's extra.set() style for centralized version declarations, keeping androidx.room3 plugin at v3.0.0 and adding sqliteVersion needed by Room3
• app/build.gradle.kts: Adopted master's rootProject.extra["key"] as String variable style, keeping sqliteVersion for Room3's sqlite-framework dependency
• PerpsMarket.kt: Used Room3's @ColumnTypeConverters with both ListConverter and DescriptionsConverter (incorporating master's addition)
• PerpsDatabase.kt: Kept Room3's .setDriver(AndroidSQLiteDriver()) API, fixed MIGRATION_5_6 to use SQLiteConnection instead of SupportSQLiteDatabase
• PerpsMigrationTest.kt: Added master's new migrate_5_6_addsNullableDescriptions test using Room3's SQLiteConnection API
• Schemas: Added PerpsDatabase schema v6 to both googlePlay and otherChannel directories