In this case, try this:
1. Exclude this specific page from the current header element in the display rule > location.
2. Create a new header element, also activate the merge function, you’ll see the site logo option under the site header tab, and upload the new logo there.
3. Choose this specific page as the location in the display rule.
There’s also another option for step 2, you can either upload a new logo or choose another Header Background
for the navigation.
Let me know if this work.