If you were orbiting a habitable planet around a star called S2 at the center of the Milky Way, you would indeed experience noticeable time dilation effects due to the strong gravitational field near the center of our galaxy.
The star S2 refers to a real star known as S2 (sometimes called S0-2) located near the supermassive black hole Sagittarius A* (Sgr A*) at the center of the Milky Way galaxy. This black hole has a mass equivalent to about 4 million times that of our Sun.
Near a massive object like a black hole, the gravitational field is extremely strong. According to Einstein's theory of general relativity, this strong gravitational field leads to time dilation. Time passes more slowly in regions of higher gravitational potential.
As you orbit the star S2 in close proximity to the supermassive black hole, the gravitational field would be intense, resulting in significant time dilation effects. From the perspective of an observer on the planet, time would appear to pass more slowly compared to an observer in a weaker gravitational field farther away from the black hole.
The extent of the time dilation effects would depend on the specific parameters of the orbit and the strength of the gravitational field. The closer you are to the black hole, the greater the time dilation effect would be. However, it's worth noting that the time dilation effect near the black hole would likely be substantial but still measurable rather than extreme to the point of causing significant practical consequences.
Nevertheless, these time dilation effects would need to be considered when performing precise measurements, coordinating time-sensitive activities, or calculating long-duration space missions near the center of the Milky Way.