Change the rules to suspend the filibuster in the Senate.
Pick a ridiculous number to increase the debt ceiling to like 999 trillion dollars and fifty-two cents.
Point out in the discussion of the upcoming vote that the number is intentionally ridiculous and quote the Republicans about how ridiculous it is to bring our country repeatedly to the brink of financial disaster each year because of a completely useless rule...which no other country in the world has because it is so useless and ridiculous.
Then pass the debt ceiling bill which places it at 999 trillion dollars and fifty-two cents.
Then change the Senate rules back to replace the filibuster. (Even though there's other legislation out there which could benefit from the lack of a filibuster, make it clear that this isn't about "pushing Biden's agenda" but rather about fixing an antique and useless rule that hurts both parties and the country.)
The Republicans can't credibly argue that the Democrats are wanting to spend an additional 972 trillion dollars and fifty-two cents. And if they try, point out how dumb the Republicans are being about it, then ask the public if they think the national government ought to (several times a year like it's been doing for decades) come close to defaulting on paying the bills it already owes and not paying the wages of federal employees and military personnel.
Frame it as "do this or we can't pay our soldiers", which is absolutely true, and it'll take a lot of the steam out of the opposition.
Or if they want to embrace not paying our soldiers, we'll gladly accept that voting block in the next elections.