fix(headless): ensure each result keep a reference of its 'source' searchId V2

[y-lakhdar]

Make sure to keep the id of the search that returned each result.

https://coveord.atlassian.net/browse/KIT-3481

backporting #4391

[github-actions]

Pull Request Report

PR Title

✅ Title follows the conventional commit spec.

Live demo links

• Storybook

• Playwright report

Bundle Size

File	Old (kb)	New (kb)	Change (%)
case-assist	244.5	244.5	0
commerce	343	343.1	0
search	416.9	417.2	0.1
insight	394.9	395	0
product-listing	306.7	306.8	0
product-recommendation	215.3	215.3	0
recommendation	257.7	257.7	0
ssr	407.4	407.7	0.1
ssr-commerce	353.6	353.7	0

SSR Progress

Use case	SSR (#)	CSR (#)	Progress (%)
search	39	44	89
recommendation	0	4	0
product-recommendation	0	10	0
product-listing	0	13	0
case-assist	0	6	0
insight	0	27	0
commerce	0	15	0

Detailed logs

search : buildInteractiveResult
search : buildInteractiveInstantResult
search : buildInteractiveRecentResult
search : buildInteractiveCitation
search : buildGeneratedAnswer
recommendation : missing SSR support
product-recommendation : missing SSR support
product-listing : missing SSR support
case-assist : missing SSR support
insight : missing SSR support
commerce : missing SSR support