I originally suggested closing this question as I think it confuses methodological details with strategy. There is an accepted answer that clarifies things with a clear diagram of the Sanger method. In the circumstances I decided to add a different sort of answer — one that emphasises the principles involved in the different approaches, rather than ...
This question can be easily answered by reference to reputable sources on the internet, but as it is important to encourage the general use of the term, Genome, I shall cite examples.
WHAT IS A GENOME?
A genome is an organism’s complete set of DNA, including all of its genes
US National Library of Medicine, Genetics Home Reference
Gene map is the spatial arrangement of genetic markers and the relative distance between each of them. While the genome includes the entire hereditary information of the organism; this includes both genes and the non-coding sequences of DNA (introns).