Meter hiding when other one is active

[balala]

Add [!SetOption Box Text "Search..."][!UpdateMeter Box] to the end of the Command1= line of [SearchButtoInput] measure.
And, add OnDismissAction=[!SetOption Box Text "Search..."] to [SearchButtoInput].
Also, remove LeftMouseDownAction=!HideMeter "Box" from [SearchButtoInput]

Further, modify the LeftMouseUpAction= line in [Box] meter to LeftMouseUpAction=[!CommandMeasure SearchButtonInput "ExecuteBatch 1"][!SetOption Box Text ""][!UpdateMeter Box].

Related to the proposed bangs, note that adding a !UpdateMeter bang without a !Redraw is completely useless, because even if you update a meter (in this case the Box meter) you can't see the result unless the skin is redrawn. This to happen, you have to add a !Redraw bang as well, beside the !UpdateMeter. If you don't add it, the result of the update is visible only after the next update cycle of the skin, when a redrawn is anyway done.

[mak_kawa]

Thanks balala for kind guidance. I am a sort of birdbrained...

[balala]

I am a sort of birdbrained...

No, you are not. Probably what have I described is not obvious, at least not from the beginning.