Migrate remaining endpoints (with a single exception)

[mkondratek]

This PR is a part of the protocol migration. Some endpoints are written by hand. We are switching to the protocol generated from Cody. In this PR:

• Migrate editTask/*
• Migrate editCommands/code
• Migrate webview/*
• Migrate chat/web/new
• Migrate ignore/test
• Migrate testing/*

Based on PR #2633

Full chain of PRs as of 2024-11-13

• PR #2634: mkondratek/chore/migrate-api-part-3 ➔ mkondratek/chore/migrate-api-part-2
• PR #2633: mkondratek/chore/migrate-api-part-2 ➔ mkondratek/chore/migrate-api-part-1
• PR #2632: mkondratek/chore/migrate-api-part-1 ➔ main

Test plan

• All migrated endpoints have been verified with debugger (and reviewed in the trace log).
• New chat action executed 🟢
• Autocomplete tested 🟢
• Inline Edits (including cancel, undo, retry, accept) tested 🟢
• Chat tested 🟢
• Closing/Opening the project, closing/opening files, closing/opening new chats tested 🟢
• Swtiching account (dotcom -> enterprsise) tested 🟢
• Cody Ignore (with CODY_JETBRAINS_FEATURES=cody.feature.internals-menu=true) 🟢

[mkondratek]

closing in favor of:

• https://github.com/sourcegraph/jetbrains/pull/2637
• https://github.com/sourcegraph/jetbrains/pull/2638
• https://github.com/sourcegraph/jetbrains/pull/2639