chore(cody): update marketplace listing readme (sourcegraph#8212)

Context:
[thread](https://sourcegraph.slack.com/archives/C04MSD3DP5L/p1753740794913999)
## Test plan
update README.md
<!-- Required. See
https://docs-legacy.sourcegraph.com/dev/background-information/testing_principles.
-->

Increase timeout

Update vscode package version (sourcegraph#8197)

Update VS Code package version to 1.114.0

## Test plan

None

Unblock main fix unit tests (sourcegraph#8194)

This PR fixes the unit tests on the main. 

## Test plan

unit tests updates

Update vscode package version (sourcegraph#8197)

Update VS Code package version to 1.114.0

## Test plan

None

[Backport M112] Changelog for 1.112.0 (sourcegraph#8177)

Automated release and changelog for Cody VS Code 1.112.0
  ## Test plan
N/A - changelog update <br> Backport
402d2c3 from sourcegraph#8175

Co-authored-by: sourcegraph-bot-devx <[email protected]>
Co-authored-by: sourcegraph-bot <[email protected]>
Co-authored-by: Valery Bugakov <[email protected]>

refactor(search): remove search mode (sourcegraph#8053)

Remove Search mode from mode selector and clean up all the associated
code.

## Test plan

<!-- Required. See
https://docs-legacy.sourcegraph.com/dev/background-information/testing_principles.
-->

1. Log into S2
2. Open mode selector and confirm Search has been removed from the
dropdown:

<img width="559" alt="image"
src="https://github.com/user-attachments/assets/c717320b-dd15-4986-8c00-31c9e547fbb2"
/>

---------

Co-authored-by: David Ichim <[email protected]>

Fix auth form validation (sourcegraph#8178)

The validate error for the instance url gets reset when access token is
entered. This PR fixes it.

## Test plan
Follow plan from: https://github.com/sourcegraph/cody/pull/8174

Fix auth form validation (sourcegraph#8178)

The validate error for the instance url gets reset when access token is
entered. This PR fixes it.

## Test plan
Follow plan from: https://github.com/sourcegraph/cody/pull/8174