fix(editor): Don't re-render input panel after node finishes executing

[RicardoE105]

Summary

Before

https://share.cleanshot.com/VXhQ7rb9

Now

Related Linear tickets, Github issues, and Community forum posts

https://linear.app/n8n/issue/ADO-2607/bug-previous-node-re-execution-when-it-should-not

Review / Merge checklist

• [x] PR title and summary are descriptive. (conventions)
• [ ] Docs updated or follow-up ticket created.
• [ ] Tests included.
• [ ] PR Labeled with release/backport (if the PR is an urgent fix that needs to be backported)

[cypress[bot]]

n8n    Run #8021

Run Properties:   Passed #8021  •  9e6c280103: 🌳 🖥️ browsers:node18.12.0-chrome107 🤖 RicardoE105 🗃️ e2e/*

Project	n8n
Branch Review	ado-2607-bug-previous-node-re-execution-when-it-should-not
Run status	Passed #8021
Run duration	04m 33s
Commit	9e6c280103: 🌳 🖥️ browsers:node18.12.0-chrome107 🤖 RicardoE105 🗃️ e2e/*
Committer	Ricardo Espinoza
View all properties for this run ↗︎

---

Test results
Failures	0
Flaky	3
Pending	0
Skipped	0
Passing	475
View all changes introduced in this branch ↗︎

[github-actions[bot]]

:white_check_mark: All Cypress E2E specs passed

[codecov[bot]]

Codecov Report

Attention: Patch coverage is 0% with 1 line in your changes missing coverage. Please review.	Files with missing lines	Patch %	Lines
packages/editor-ui/src/components/InputPanel.vue	0.00%	1 Missing :warning:

:loudspeaker: Thoughts on this report? Let us know!