Space race with whom, exactly? The Russians reached space
60 years ago in 1957 with the Sputnik satellite. Americans landed men on the moon
48 years ago in 1969 with Apollo 11. The following list of countries can all launch their own satellites:
USA
France
Japan
China
UK
India
Russia
Ukraine
Israel
Iran
North Korea
Yes, even heavily-sanctioned
Iran and piss-poor
North Korea are on the list!
Iranian satellite launcher Safir-1 (successfully placed a small satellite called Omid in space back in 2009.)
North Korea joined the "space nation club" in 2012 with the launch of a earth observation satellite with their
Unha-3 rocket.
The race is over. But being able to launch satellites (reach space) remains a
strategic capability. Turkey has to keep up by developing the Roketsan SLV as soon as possible.