[4.0] Move Searchtools styling to template

[Fedik]

Summary of Changes

This will move searchtools styling to the template files.
More info in #27384 comments.

Testing Instructions

Apply patch, run npm install

Expected result

All works

Actual result

Almost works, with some rtl issue

@infograf768 please check

[infograf768]

Let's go for it.
We can correct some more stuff after merge.
Some are in _toolbar.scss

@wilsonge @HLeithner

[infograf768]

I have tested this item ✅ successfully on 789eabc

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[jwaisner]

I have tested this item ✅ successfully on 789eabc

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[SharkyKZ]

RTC.

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[HLeithner]

Thanks

[infograf768]

@Fedik
To help figure any remaining issue in RTL, what have you remarked? (Please use screenshot)
To be sure, first please patch with #27384

[Fedik]

@infograf768 it looks good to me:
LTR:

RTL:

[infograf768]

Thanks. Remains therefore after #27384 is merged, some aspects from toolbar css dealing with margins in mobile view (rtl/ltr).
Will look at these later.

[infograf768]

See #27443 for follow-up