Final answer:
The protein stained with Congo red in the patient's tissue biopsy is indicative of Amyloidosis, which is an amyloid protein.
Step-by-step explanation:
The protein that is stained positive with Congo red in the tissue biopsy of a 56-year-old man presenting with symptoms such as increased fatigability, purpura, weight loss, bone pain, pallor, and laboratory findings such as marked anemia, thrombocytopenia, increased white blood cell count, and a marked increase in plasma cells could be indicative of Amyloidosis. The presence of amyloid proteins can be identified by the Congo red stain, which binds to the beta-pleated sheet structure of the amyloid fibrils, demonstrating an apple-green birefringence under polarized light.