Numbness of the left hand and leg along with head heaviness and sound intolerance is not a plain vertigo picture, so simply adding one more tablet is not the right approach. This combination can come from migraine variants, cervical spine problems, anaemia,
B12 deficiency,
thyroid issues or anxiety - but one-sided numbness always needs a proper neurological examination first. I would not prescribe more medicines to you without that.
Next Steps
Get examined in person soon and carry your old prescriptions. Basic tests worth doing: CBC,
vitamin B12,
vitamin D,
TSH, blood
sugar, and cervical spine X-ray; your doctor may add an MRI brain if the examination suggests it. If the numbness suddenly worsens, or you get slurred speech, facial deviation, weakness of limbs or severe sudden headache, go to the nearest emergency at once. Do not keep changing tablets on your own.