I can see Republicans getting 3 terms under this scenario(Ignore the Shading and the EV numbers in each state)
2020:A Democrat narrowly defeats Trump despite a good economy, mainly due to Trump's unpopularity. Democrats also take the Senate(by winning AZ ,CO and NC while losing AL) and keep the House(Which they won in 2018).
2024:The Economy goes into a recession into 2022 similar to the one in the early 1990s and that causes the party to break out into civil war between the Bernie and Establishment wings once again. The Republican nominee is a Center Right Republican(Like Nikki Haley) who is more moderate on the issue of immigration and the bad economy and a divided democratic party allows the Republicans to win big.
2028:A Booming Economy allows the Republican candidate to win big again
2032:The Democrats nominate a Moderate Governor from the Southwest but the Booming Economy and the Popular Incumbent President campaigning extensively for their Vice President who is the nominee(unlike 1960 and 2000) gives them a narrow victory
2036:
A Bad Economy(goes into recession in 2033 or 2034) and a divided GOP allow the Democrat who is popular South East Governor to win big
2040:A Booming economy and a lackluster Republican candidate allows the Dem to easily win including winning Ohio by a pretty narrow margin