Formulate a plan of care to a patient with tuberculosis that vomits blood.?

That person needs to be under a doctors care for their and everyone elses best interest. TB is a very dangerous condition, a communicable disease and not something for self or home treatment.

place in semi fowlers or orthopneic position, oxygenate, and protect others to prevent contamination, proper disposal of the blood, respiratory secretions, and ask others to wear mask, because tb is an airborne. then promote comfort, and health education.

Sounds like the TB hasn't been taken care of and it may be too late to do anything at this point beyond managing pain.

Xray to see if both lungs are affected, I suspect they are. If they weren't then surgical removal of the diseased lung would be an option. Depending on how localized the TB is you could attempt to remove the deceased areas if the remaining is sufficient. I doubt it.

Drugs could be an option depending on the type of TB they have. Again if they are at the point of coughing and vomiting blood I'm guessing they were treated and the drugs weren't effective.

They are highly contagious and should wear a mask. And I assume everyone that cares for them and comes in direct contact with them should also take precautions.

If they were in the Netherlands I would suggest they find someone to help them with euthanasia as slowly dying of TB would not be a very pleasant way to go and that's what it sounds like they are going to be doing.

Hemoptysis is not vomiting blood. Its coughing out blood. Start IV fluids or fresh blood transfusion and give styptics.
Take the patient to a hospital immediately. He may need FO Bronchoscopy if bleeding continues.