Fix badge links, use consistent badge style and update badge order (#3540)

Author: seisman

README.md

@@ -4,19 +4,19 @@
 
 [Documentation (development version)](https://www.pygmt.org/dev) | [Contact](https://forum.generic-mapping-tools.org) | [TryOnline](https://github.com/GenericMappingTools/try-gmt)
 
-[![Latest version on PyPI](https://img.shields.io/pypi/v/pygmt.svg?style=flat-square)](https://pypi.python.org/pypi/pygmt)
-[![Latest version on conda-forge](https://img.shields.io/conda/v/conda-forge/pygmt?style=flat-square)](https://anaconda.org/conda-forge/pygmt)
-[![GitHub Actions Tests status](https://github.com/GenericMappingTools/pygmt/workflows/Tests/badge.svg)](https://github.com/GenericMappingTools/pygmt/actions/workflows/ci_tests.yaml)
-[![GitHub Actions GMT Dev Tests status](https://github.com/GenericMappingTools/pygmt/workflows/GMT%20Dev%20Tests/badge.svg)](https://github.com/GenericMappingTools/pygmt/actions/workflows/ci_tests_dev.yaml)
-[![Ruff](https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/astral-sh/ruff/main/assets/badge/v2.json)](https://github.com/astral-sh/ruff)
-[![Test coverage status](https://codecov.io/gh/GenericMappingTools/pygmt/branch/main/graph/badge.svg?token=78Fu4EWstx)](https://app.codecov.io/gh/GenericMappingTools/pygmt)
-[![CodSpeed Performance Benchmarks](https://img.shields.io/endpoint?url=https://codspeed.io/badge.json)](https://codspeed.io/GenericMappingTools/pygmt)
-[![Compatible Python versions.](https://img.shields.io/pypi/pyversions/pygmt.svg?style=flat-square)](https://pypi.python.org/pypi/pygmt)
-[![Discourse forum](https://img.shields.io/discourse/status?label=forum&server=https%3A%2F%2Fforum.generic-mapping-tools.org%2F&style=flat-square)](https://forum.generic-mapping-tools.org)
+[![Latest version on PyPI](https://img.shields.io/pypi/v/pygmt)](https://pypi.org/project/pygmt)
+[![Latest version on conda-forge](https://img.shields.io/conda/v/conda-forge/pygmt)](https://anaconda.org/conda-forge/pygmt)
+[![GitHub license](https://img.shields.io/github/license/GenericMappingTools/pygmt)](https://github.com/GenericMappingTools/pygmt/blob/main/LICENSE.txt)
+[![Compatible Python versions](https://img.shields.io/python/required-version-toml?tomlFilePath=https%3A%2F%2Fraw.githubusercontent.com%2FGenericMappingTools%2Fpygmt%2Frefs%2Fheads%2Fmain%2Fpyproject.toml)](https://www.pygmt.org/dev/minversions.html)
 [![Digital Object Identifier for the Zenodo archive](https://zenodo.org/badge/DOI/10.5281/3781524.svg)](https://doi.org/10.5281/zenodo.3781524)
+[![Discourse forum](https://img.shields.io/discourse/status?label=forum&server=https%3A%2F%2Fforum.generic-mapping-tools.org)](https://forum.generic-mapping-tools.org)
 [![PyOpenSci](https://tinyurl.com/y22nb8up)](https://github.com/pyOpenSci/software-review/issues/43)
-[![GitHub license](https://img.shields.io/github/license/GenericMappingTools/pygmt?style=flat-square)](https://github.com/GenericMappingTools/pygmt/blob/main/LICENSE.txt)
 [![Contributor Code of Conduct](https://img.shields.io/badge/Contributor%20Covenant-v2.1%20adopted-ff69b4.svg)](https://github.com/GenericMappingTools/.github/blob/main/CODE_OF_CONDUCT.md)
+[![GitHub Actions Tests status](https://github.com/GenericMappingTools/pygmt/actions/workflows/ci_tests.yaml/badge.svg)](https://github.com/GenericMappingTools/pygmt/actions/workflows/ci_tests.yaml)
+[![GitHub Actions GMT Dev Tests status](https://github.com/GenericMappingTools/pygmt/actions/workflows/ci_tests_dev.yaml/badge.svg)](https://github.com/GenericMappingTools/pygmt/actions/workflows/ci_tests_dev.yaml)
+[![Test coverage status](https://codecov.io/gh/GenericMappingTools/pygmt/graph/badge.svg?token=78Fu4EWstx)](https://app.codecov.io/gh/GenericMappingTools/pygmt)
+[![Ruff](https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/astral-sh/ruff/main/assets/badge/v2.json)](https://github.com/astral-sh/ruff)
+[![CodSpeed Performance Benchmarks](https://img.shields.io/endpoint?url=https://codspeed.io/badge.json)](https://codspeed.io/GenericMappingTools/pygmt)
 
 <!-- doc-index-start-after -->