Looks like the feature you are looking for is called a Document Property field, which is often used through Quick Parts. It lets you enter a text string or date once and then display that exact same string elsewhere in the document, including in the footer. Because you are storing the date as a document property rather than using Word's DATE field, it remains fixed and does not automatically change to the current date.
The easiest method is to use one of Word's built-in document properties. On the first page, place your cursor where you want the date, go to Insert > Quick Parts > Document Property, and select an appropriate property such as Publish Date or Subject. A placeholder will appear; enter your fixed date, such as October 24, 2026.
Then double-click in the footer to open it. Go to Insert > Quick Parts > Document Property and select the exact same property you used on the first page. Word will display the same date in the footer. If you subsequently change the date in the document-property field on the first page, the footer will reflect the change as well.
If you want the date to be a fixed character string and do not want Word treating it as a date at all, this approach is particularly appropriate. The key is to use the same Document Property in both locations, rather than inserting Word's automatic DATE field.
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hth
Marcin