Explanation
Lightning pages are custom layouts that let you design pages for your Salesforce org using Lightning App Builder. You can assign different Lightning pages for different apps, record types, and profiles using Lightning page assignments. To meet the requirement of displaying different Lightning pages for Accounts in Sales Console and Service Console, you need to assign Lightning pages as app default for each app.
References: https://help.salesforce.com/s/articleView?id=sf.lightning_page_overview.htm&type=5
https://help.salesforce.com/s/articleView?id=sf.lightning_page_assignments.htm&type=5