Do you agree the believer should be advancing the Gospel in both word and deed?
No, if you advanced it by deed, that would be doing good works, and every Protestant knows you can’t earn anything by doing good works, lol!
Proselytizing is marked by those who try to convert others through fear, malice, manipulation, deception, threat, or bribery. It does not respect religious freedom or human dignity. For example, ISIS is trying to establish a caliphate and is using force through the threat of death or taxes to make people convert to their version of Islam. Proselytizing is concerned with the number of people who convert by any means and success is measured by such.
True evangelization is concerned with the good of the other person and the salvation of their souls through charity. Evangelization is the “proclamation of Christ and his Gospel by word and the testimony of life, in fulfillment of Christ’s command.” (Catechism of the Catholic Church)