Getting pages in properties in query

I have some blocks with properties like this:

block content
start-date:: [[2022-04-18]]
end-date:: [[2022-05-01]]

Then I have a query where I get the start dates of the blocks on the current page:

{:query [:find (pull ?b [*])
         :in $ ?current-page ?today
         :where
         [?b :block/page ?p]
         [?p :block/name ?current-page]
         [?b :block/properties ?props]
         [(get ?props :start-date) ?start-date-prop]]
 :inputs [:current-page :today]}

Now, I would like to get the page that is contained in the :start-date property, like so:

{:query [:find (pull ?b [*])
         :in $ ?current-page ?today
         :where
         [?b :block/page ?p]
         [?p :block/name ?current-page]
         [?b :block/properties ?props]
         [(get ?props :start-date) ?start-date-prop]
         ;; want to get the journal-day of the start-date property
         [?start-date-prop :page/journal-day ?start-date]]
 :inputs [:current-page :today]}

However it looks like this property is just a string, not a page (or a list of pages in the event that I had written multiple start dates). Is there a way to get the page(s) out of it? So that "[[2022-04-18]]" is treated as a page within the query, and I can get its :page/journal-day?

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