Levothyroxine is usually increased in 12.5mcg-25mcg increments when the FreeT4 level is below mid-range. Your math is right, your most recent FreeT4 level is 30% of range.
Just so you know, not everyone can handle 25mcg dose increases (let alone a doubling of the dose) - especially if they accompany a Cytomel dose increase.
And, not everyone can handle a doubling of their Cytomel dose. (although, not many people could start with 12.5mcg, either
) Most Cytomel doses are increased in 2.5-5mcg increments.
Increasing too much too soon just doesn't work since our bodies can only "process" so much new hormone at any given time. You're at risk of overshooting your goal and developing hyper symptoms.
Slow and steady wins the thyroid disease race.
I'd like to see you stop taking your Levo with coffee - that alone should help your FreeT4 level.
And, now that you have some information about standard treatment protocol, I hope you can use that for a meaningful conversation with the endo.