The cap is a non-issue. They have plenty of room both this year and in future years.
Imho, cash really isn't an issue, either, at least not directly. Even if the organization doesn't have all the requisite cash on hand, there are multiple avenues to get it.
The issue is just that, last offseason the FO made it clear they had no plans to re-sign Tee or give Hendrickson more money. Tee was going to be replaced by Burton and if Trey wanted more money, he shouldn't have signed the July 2023 extension. As for Chase, well, he was going to get paid, but on their schedule, not his.
Then Burton shit every bed in sight and Trey led the league in sacks and Chase nabbed a Triple Crown...and their whole plan, such as it was, went up in flames that Burrow is now gleefully pouring more fuel on (and to be clear, good for him).
I honestly don't know how things are going to go. If I had to guess, my guess would be "poorly." We'll see.