Noted your short but an elucidate history about a growth on abdomen that when squeezed oozes out blood and oily material, shaved a lot in this area, looks to be pubic area. The character of the lump in lower part that is most probably the pubic area indicates this to be a cyst
of skin origin hence the oozing out of oily material and blood.
Since this is a cyst it will secrete the liquids till the inner lining is alive. Hence I would advise you the following in such a situation:
Consult a General Surgeon
for clinical evaluation, investigations and request for complete excision of the lump for the following reasons:
Complete excision guarantees no recurrence.
Getting rid of a lump that is not a normal structure of body.
And histopathology confirms the diagnosis.
Hope I have answered your query. Let me know if I can assist you further.
Dr. T. Chandrakant, General Surgeon