chore: Remove unused crates and files

[echobt]

Removed unused code:

• crates/auto-updater/ (~1,024 lines) - not imported anywhere
• crates/distributed-db/ (~5,318 lines) - not imported anywhere, had #![allow(dead_code)]
• tt_new.py - test file at root
• examples/ - empty directory

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📥 Commits

Reviewing files that changed from the base of the PR and between 4765bec and 88b3468.

⛔ Files ignored due to path filters (1)

• Cargo.lock is excluded by !**/*.lock

📒 Files selected for processing (16)

• Cargo.toml
• crates/auto-updater/Cargo.toml
• crates/auto-updater/src/lib.rs
• crates/auto-updater/src/updater.rs
• crates/auto-updater/src/version.rs
• crates/auto-updater/src/watcher.rs
• crates/distributed-db/Cargo.toml
• crates/distributed-db/src/indexes.rs
• crates/distributed-db/src/lib.rs
• crates/distributed-db/src/merkle.rs
• crates/distributed-db/src/merkle_verification.rs
• crates/distributed-db/src/queries.rs
• crates/distributed-db/src/state.rs
• crates/distributed-db/src/storage.rs
• crates/distributed-db/src/test_utils.rs
• crates/distributed-db/src/transactions.rs

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