Nearly £24 million will now be spent on a major revamp of a Welsh-medium high school in Bangor.
Ysgol Tryfan is planning to build new modern extensions to its Lon Powys site and expand its capacity to 650 pupils.
Cyngor Gwynedd says it intends to commit extra funding to the project amid rising costs, contributing a total of £8.3 million with the Welsh Government meeting two-thirds of the costs (£15.3m).
But the project is still subject to approval of the business case - with council chiefs set to enter talks with ministers.
Dr Geraint Owen Jones, Ysgol Tryfan's headteacher - and a former pupil, said: "This is an important step towards ensuring that our pupils are taught in a modern, safe and future-proof environment."
"Since the school was founded in 1978, Ysgol Tryfan has been a central part of the Bangor community, providing quality Welsh-medium education to generations of young people."
"We pride ourselves on our tradition of nurturing talent, promoting Welsh culture and offering a wide range of opportunities to our pupils."
"This new investment will ensure that we can continue with our vision, and we look forward to the next chapter for the school with facilities that reflect the needs of the 21st century. The proposed improvements will offer rich learning opportunities for our young people and support our commitment to excellence."
He added: "We look forward to future discussions, to see the work progress, and to the long-term benefits for our pupils, hard-working staff and the wider community."
Cyngor Gwynedd says the project will transform Ysgol Tryfan into a "greener and eco-friendly" school, meeting the requiements of the Curriculum of Wales, with plans to improve facilities and resources for sports.
Cllr Dewi Jones, cabinet member for education, said: "Ensuring that all Gwynedd children are educated in buildings that are modern and fit for purpose is a priority for Cyngor Gwynedd."
"Our plans for Ysgol Tryfan are a great example of how the council's departments can work with the school community for the benefit of our young people and teaching staff."
"Alongside this, this council is committed to reducing our carbon emissions and to work in a more environmentally friendly way. These plans mean that the school will significantly reduce its carbon footprint, also leading to being more cost-effective to run in the future."
Cllr Jones admitted the project was taking time while officers complete their preparatory work.
He added: "Unfortunately, since discussions about this project began, inflation and the cost of building materials have significantly increased and this is why we have today approved the transfer an additional £1.96 million from the council's asset management plan."
"I am glad that we have reached this stage in the process, and I look forward to seeing the progress of the work on the site, as well as significant improvements to the school when the work is completed, and to see how the new resources will enrich the educational experiences of Ysgol Tryfan's pupils."


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