My first target rifle in 1958 was a Mossberg 144LS (LS stands for Lyman Sight). I used it for a couple years, until I could afford an older Winchester 52 with a Titherington barrel, which I used until I could afford a 52 D (The old one outshot the D, though).
In the early 1960s, the Anschutz were beginning to make serious inroads in the States, even among the junior shooters. The average Annie was just better than the average 52, but more expensive. Probably still true.
As a kid, I save my pennies and mowed a lot of lawns to get the first used 52 -- I think it was around $50, with much better Lyman sights than on the Mossberg. I had to wait a bit to afford the Redfield International Match sights -- $29.95 rear and I think $9.95 for the front, circa 1960.
What the other posters said is correct. You can start with a 144LS, and you will be at a disadvantage. As long as you recognize that, it's OK.