You could create a second flow using the "request" trigger type, you can then call this flow from your main one, (essentially creating a sub-process) pass data to that to the sub-flow for processing and then pass back the result.
This would pass some of your usage over to another flow with its own separate limits.
Another alternative is to push the data to some other external source through some connector, power apps is a good example as it integrates closely with power automate, but you could also pass the data to a custom JavaScript connector or something else, process the data over there and return the result.
As an extension of that last point, the external source could be the power apps desktop app, which could then complete the entire process without having to send data back to the web flow (you would need the desktop version of word and oneDrive)
As a really bad but simple alternative, you could ensure that you never hit the API limits by adding a pause into your flow.
check the API limits for the connector you're having issue with, there should be some amount of regen, for example it might gain 5 calls per 10 seconds.
Add a "wait" action to your flow to ensure it doesn't go over this limit, given the above example you would need to add a 2 second wait after each action that uses that connector.
This will of course slow down the flow by a massive amount, but it's an easy solution if you're not bothered about execution time.
If you're adding data to word, make sure you compile all the data within the flow and then add it to word in a single action, rather than doing small edits with each individual data part.
For example, if you're processing business card info with 3 inputs: name; job; phone:
Don't do:
read the name -> save to word -> read the job -> save to word -> read the phone -> save to word -> next card -> repeat till no cards left.
Instead do:
read the name -> save to a variable -> read the job -> append to the same variable -> read the phone -> append to the same variable -> next card -> repeat till no cards left-> save the variable to word.
Any external connections (including the connection to office365 word) tend to be where you hit API limits and are also the parts that slow down your flows.
