Is a Christian to forgive AND forget?

Jesus Christ commands believers to forgive as they have been forgiven. Exactly that. Let's think about this with some precision.
(The cashier analogy).
King David & his loyalists fled Jerusalem during the rebellion of his son, Absalom. Shimei, a member of Saul's clan, stood on a ridge and rained stones & curses upon David's entourage. How did this real drama play out over the years?
Bible, scriptures, God, Jesus, truth, Old Testament, New Testament, KJV, Lord, Holy Ghost, King James Bible, holiness, Jehovah, salvation, gospel, hope, faith, love, fidelity, church, Trinity, prophecy, Holy Bible, Jesus Christ, preach, preachers, covenant, seven, numerology, ages, healing, pray, prayer, praying, preaching, religion, belief, missionary, pilgrim, sojourn, pastor, pulpit, churches, denominations, doctrine, reprobate, heretic, evangelist, textus receptus, churches, repent, repentance, sin, sinful, grace, cross, eternal life, eternity, heaven, hell, life, giants, ancient world, dragons, thunderbird, globe, history, the West, dominion, salt, light, captive, economy, dollar, inflation, paradigm shift, historic, East, Russia, United States, industrial complex, new world order, empire, republic, local, hyperlocal, noble, temperance, trust, Tennessee, Murfreesboro, Nashville, Middle Tennessee, TN, tribulation, backsliding, purity, sinfulness, promise, promises, baptism, communion, globalization, centralization, decentralization, local, self sufficiency, organic, food, farms, family farms, local business, capitalism, capitalism, property, property rights, communism, communist, collective, collectivist, tradition, principle, principles, Yahweh, creator, creation, creationist, prophet, prophecy, gold, silver, scriptural, prosperity, churches, denomination, denominations, message, messages, works, non-denominational, doctrinal, missionaries, mission, matrix, blue pill, red pill, separation, alternative, organic, traditional, bible believer, conspiracy, conspiracies, banking, bank, banks, world, separation, Wesley, Calvin, Spurgeon, baptist, pentecostal, holiness, presbyterian, nazarene, independent, crypto, missionary, reformed, methodist, free methodist, church of God, assembly of God, non denominational, cross, geneva bible king james bible, pilgrims, puritans tulip, natural, health, spiritural, spirit, ghost, hell, hades, greek, bible school, seminary, industrial complex, independent church, local church, local churches, evangelist, evangelism, evangelical, fundamental, SBC, grace, grace church, dutch reformed, new christian, new believer, saints, saints of God, delivered, redeem, redeemed, pit, trap, snare, heavenly, realm, religion, religious, faith based, family friendly, families, nuclear family, marriage, divorce, adultery, fornication, cheating, faithful, thief in the night, noah, noah's ark, the flood, antidiluvian, eternity future, ancient, nethelim, nethilim, giant, giants, dragon, dragons, belief, philistine, philistines, promised land, beaulah land, saved, bicoin, hard money, mining, reward, book of life, mystery, silver, gold, spot price, coin dealer, bullion, freedom, hard assets, diesel, refine, refinery, WEF, world economic forum, doomsday, apocalypse, apocalyptic, armaggedon, jerecho, butter, deadly, constitution, constitutional, founding fathers, coptic, levant, numerology, glory, glorious, royal, royalty,