When you fix the header in the Shopify theme "Dawn", only the parts including the menu, logo, cart, etc. will be fixed. However, if possible, you may want the announcement bar to be always displayed as well. This is a simple setting method using JavaScript in the theme editor without directly editing the code.
Example of setting to display the announcement bar together with the header in the theme "Dawn"

[How to set it up] Add a custom Liquid section to the header in the theme editor and insert the code

[Additional Information] Supports multiple notification bars & any type of always-on display is OK

[Additional Note] If you change the execution timing of the javascript you write from `load` to `DOMContentLoaded`, the header will be fixed immediately after the screen is loaded, but be careful as a theme error will be displayed.

