Ineligible officials have been removed by the courts. What precedent can you cite that says a "Bill of Impreachment" would have to be drawn up first to determine and/or review eligibility??
And under the “de facto officer doctrine,” the ineligible official continues to hold the office until they are removed from office.
The de facto officer doctrine doesn't pre-empt anyone from being removed from office if they are not eligible. You're trying to use a circular argument for for justifying illegal occupation of an office.
There is no constitutional, statutory or case law definition of “high crimes and misdemeanors.” The House of Representatives can impeach for any reason that a majority of members agree to.
I never said nor implied that the de facto officer doctrine “pre-empt(ed) anyone from being removed from office if they are not eligible.” In fact, my point is that the de facto officer doctrine is precisely why an allegedly ineligible office holder can be impeached, tried, convicted and removed.