Want highlight CursorLine/Column to override Search

I have the following in my ~/vimfiles/colors/mine.vim:

highlight CursorColumn guibg=#002800 guifg=white gui=NONE
highlight CursorLine guibg=#002000 guifg=white gui=NONE
highlight Search guifg=black guibg=#cc0000 gui=bold

Sometimes, the cursor line/column overlaps with the text that is
highlighted for Search. In those locations, Search overrides
CursorLine/Column, and the specified bold formatting makes the
characters jump out of the screen into my eyeballs.

Is there a way to specify which highlight property has priority when
characters fall under several highlight groups?

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