Check out "Text search slicer" from DataBrothers s.r.o. - it allows to sync search expression across pages as it works like a slicer:
Customizable slicer that enables searching/filtering within one or more text categories.
Text search slicer was inspired by the need for broader customization options in Power BI report development. Users can now format font, padding, border, color, and text within the Format Pane. In addition, the slicer supports filtering on multiple category text fields via hitting ENTER or using the in-built search button. Slicer gets reset if the focus is lost and/or no filter was applied. When filtering multiple categories, additional buttons are shown. The filter is then applied based on highlighted buttons. This visual is certified by Power BI.
