our understanding of the fate of the galaxy and the influence of dark energy on its evolution is limited and subject to ongoing scientific research and debate. However, I can provide you with some information based on the current understanding up to that point.
Dark energy is a theoretical form of energy that is thought to permeate space and contribute to the accelerating expansion of the universe. It is believed to be responsible for the observed phenomenon where galaxies and galaxy clusters are moving away from each other at an accelerating rate.
The cosmic web refers to the large-scale structure of the universe, consisting of interconnected filaments of galaxies and vast voids. While dark energy has an influence on the overall expansion of the universe, its impact on individual galaxies within the cosmic web is more complex.
On smaller scales, the gravitational interaction between galaxies and other matter dominates over the effects of dark energy. Gravity causes galaxies to attract each other and can lead to the formation of galaxy clusters and superclusters, despite the overall expansion of the universe.
However, as the universe continues to expand and the influence of dark energy becomes more pronounced, it is hypothesized that the acceleration of the universe's expansion could have long-term consequences for galaxies and galaxy clusters. It is speculated that in the distant future, the acceleration may cause galaxies to become increasingly isolated and move farther apart, potentially resulting in a scenario known as the "Big Freeze" or the "Heat Death" of the universe.
In this scenario, as the universe expands, the available energy for new stars and galaxies to form becomes limited. Existing stars would eventually exhaust their fuel, resulting in a universe that is dark and devoid of significant activity. However, it's important to note that the understanding of dark energy and its long-term effects on galaxies and the universe is an active area of research, and future discoveries may refine or change our current understanding.
Please keep in mind that the information provided above reflects the scientific understanding , and there may have been new developments or findings since then.