Follow up the #2744 MCP routing harvest by reusing the registered-server parser in the runtime API tool listing path and by making approval summaries show the full MCP target route instead of a guessed first underscore segment.
This keeps tool-call routing, runtime metadata, and approval copy aligned for servers such as my_db while avoiding an impossible server-only guess in approval cards that do not have the live MCP registry.
Refs #2744
Verification: cargo fmt --all -- --check; git diff --check; ./scripts/release/check-versions.sh; cargo test -p codewhale-tui --bin codewhale-tui --locked underscored -- --nocapture; cargo test -p codewhale-tui --bin codewhale-tui --locked mcp_pool_call_tool -- --nocapture; cargo clippy -p codewhale-tui --bin codewhale-tui --locked -- -D warnings.
Co-authored-by: cyq1017 <61975706+cyq1017@users.noreply.github.com>
Co-authored-by: puneetdixit200 <236133619+puneetdixit200@users.noreply.github.com>
Hunter B
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