Wikipedia and this answer explain that it will take several flyby's of Venus for ESA's Solar Orbiter to reach 34° of inclination.
Question: Currently, what's the highest heliocentric inclination achieved by a deep space probe, without using the outer planets (i.e. Jupiter and beyond)? Will Solar orbiter set a new record?
Note that by using Jupiter Ulysses achieved a heliocentric inclination of over 79°!