read carefully – the first condition:

Logo centered to the menu
best presetting will be logo left – menu right

(or logo right menu left – works aswell)

this is best because on responsive case we do not need to take care of logo or burger placement.

left code is for child-theme functions.php – right side codeblock is for quick css.

css adjusted for your settings:

@media only screen and (min-width: 768px) {
  #top .av-logo-container .logo {
    opacity: 0;
  }
  #top .main_menu {
    left: 0;
    width: 100%;
  }
  #top .main_menu .avia-menu.av-main-nav-wrap {
    position: relative;
    left: 50%;
    -webkit-transform: translateX(-50%);
    transform: translateX(-50%);
  }
  #top #menu-item-logo svg,
  #top #menu-item-logo img {
    max-height: 120px;   /**** depends on your choosen header height - on shrinking headers it will be set by that enfold shrink script ******/
    width: auto;
    position: relative;
    top: 50%;
    -webkit-transform: translateY(-50%);
    transform: translateY(-50%);
  }
}

#av-burger-menu-ul .menu-item-logo {
	display: none
}

ok – if you like to have on default a sidebar header – and on homepage only the header top position.
( for that scenario we need than a bit different css too if you like to have slide-out from left to right)

1 set your enfold child to header top and make all your decisions you like to have for that header ( height, logo left or right, navigation position, shrink or not, etc pp )

2 Go to your homepage editor and make your decision there – f.e. if it should have transparency etc.

3 Look now to your homepage with dev tools of your browser. Note your ID of that page and look what classes are set on #header
e.g.: ( all_colors header_color light_bg_color av_header_top av_logo_right av_main_nav_header av_menu_left av_custom av_header_sticky av_header_shrinking av_header_stretch av_mobile_menu_tablet av_header_searchicon av_header_unstick_top_disabled av_bottom_nav_disabled av_header_border_disabled )

4 now switch back to your header left position.

put this to your child-theme functions.php:

(remove options you do not need – or replace – f.e. header_size and header_custom_size and replace by header_size: ‘slim’ / or large )
you can find those corresponding header settings in : avia_header.php

function av_change_header_style($header){
  if(is_page(array( 17, 123456))){ 
    $header['header_position']    = "header_top";
    $header['header_layout']      = 'logo_right main_nav_header menu_left';
    $header['header_size']        = 'custom';
    $header['header_custom_size'] =  140;
    $header['header_shrinking']   = 'header_shrinking';
    $header['header_sticky']      = 'header_sticky';
    $header['header_unstick_top']   = 'header_unstick_top';
    $header['header_stretch']     = 'header_stretch';
    $header['header_transparency']  = 'header_transparency header_glassy';

    $header['header_class'] = " all_colors header_color light_bg_color av_header_top av_logo_right av_main_nav_header av_menu_left av_custom av_header_sticky av_header_shrinking av_header_stretch av_mobile_menu_tablet av_header_searchicon av_header_unstick_top_disabled av_bottom_nav_disabled av_header_border_disabled";
  }
  return $header; 
}
add_filter('avf_header_setting_filter','av_change_header_style');

here in this example there are two pages (ID’s) replaced with that different layout – adjust to your home page ID
this filter has a lot more options. Enter on $header['header_class'] your noted classes from point 3.

see example page: https://clean.webers-testseite.de/

I have now updated all of my installations to PHP 8.3 or higher. Some of my customer providers already offer PHP 8.4. I have never had any problems switching. Therefore, I assume there is high compatibility with current PHP versions. My overloaded test site runs under PHP 8.4.7. For example, the child-theme functions.php has over 5,000 lines, and the quick CSS is already over 9,700 lines long. (webers-testseite.de).

Why don’t you try going back to smaller PHP versions one at a time? It may take a while for this to take effect. Then, see if your installation works with your provider.