[RotBolt]

Summary

Implements the first step requested in #3028 (comment):

extracting the public API of IncrementalContextAA and IncrementalContextBase into an interface and replacing references to either of those with the interface

• Introduce IncrementalContext for lifecycle, dirty-file calculation, output/cache updates, and lookup recording.
• Have IncrementalContextBase implement the contract, with AA-specific operations supplied by IncrementalContextAA.
• Change the resolver's context type and the processing lifecycle's local context type to the interface; the concrete AA class is referenced only at construction/inheritance sites.
• Keep cache/tracker storage and protected logging helpers implementation details.
• Preserve dumpLookupRecords on the contract for existing test/debug consumers rather than coupling them back to AA. Its replacement remains separate work under Tests depending on IncrementalContextAA.dumpLookupRecords #3019. recordLookupForGetAll is now an interface override instead of an internal concrete-class method.
• Add interface-level lifecycle tests for incremental/non-incremental processing and exception propagation.

This is a behavior-preserving prerequisite refactor. It does not introduce the no-op context or change the incremental guards, resolver globals, or logging design. #3028 stays open for those follow-ups.

Validation

• ./gradlew :kotlin-analysis-api:test --tests '*IncrementalContextTest' --tests '*testRecordJava*': 27 tests passed, including existing lookup-recording coverage in all four configurations.
• ./gradlew :kotlin-analysis-api:test: 659 passed, 8 skipped, 0 failures/errors.
• git diff --check

Refs #3028

[RotBolt]

@jaschdoc Could you please review this PR for the IncrementalContext interface extraction you requested in #3028? The full kotlin-analysis-api test task passes (659 passed, 8 skipped). The no-op implementation remains a follow-up after this first step is reviewed. Thank you!