Advanced tweaks on header and menus

Hello GP team,

I'm currently working on an installation with lot of customization and want to remove some stuff on tablet and mobile.

I have implemented a bottom menu on mobile and tablet and would like to achieve this:

1. Unset the button with the .menu-toggle class using a filter (it only appear on mobile menu if I'm not wrong).

2. Same with the secondary menu but unset the button with .menu-toggle .secondary-menu-toggle using a filter,

3. Activate the off-canvas everywhere (so that the "slideout-toggle" class can be used to trigger the off-canvas menu from the bottom menu bar menu item on table and mobile) but remove the burger icon in the desktop menu with something cleaner than display:none.
I indeed tried to use the slideout-toggle class with offcanvas set to on mobile only but this doesn't worked.

4. Override the native search so that it only search woocommerce products. To achieve that, I need to change the destination of the search result page from " https://mydomain/?s=xxx " to " https://mydomain/?post_type=product&s=xxx "

I have been using GP Premium for years on multiples projects now but there are still things to learn using it 😅

Thanks in advance